{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LPrec\n",
    "\n",
    "Here is an example on how to use the log-polar based method (https://github.com/math-vrn/lprec) for reconstruction in Tomopy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Install lprec from github, then"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "import tomopy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[DXchange](http://dxchange.readthedocs.io) is installed with tomopy to provide support \n",
    "for tomographic data loading. Various data format from all major [synchrotron](http://dxchange.readthedocs.io/en/latest/source/demo.html) facilities are supported. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "import dxchange"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "matplotlib provide plotting of the result in this notebook. [Paraview](http://www.paraview.org/) or other tools are available for more sophisticated 3D rendering."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "Set the path to the micro-CT data to reconstruct."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "fname = '../../tomopy/data/tooth.h5'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Select the sinogram range to reconstruct."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "start = 0\n",
    "end = 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This data set file format follows the [APS](http://www.aps.anl.gov) beamline [2-BM and 32-ID](https://www1.aps.anl.gov/Imaging) definition. Other file format readers are available at [DXchange](http://dxchange.readthedocs.io/en/latest/source/api/dxchange.exchange.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "proj, flat, dark, theta = dxchange.read_aps_32id(fname, sino=(start, end))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the sinogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(proj[:, 0, :], cmap='Greys_r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If the angular information is not avaialable from the raw data you need to set the data collection angles. In this case theta is set as equally spaced between 0-180 degrees."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "theta = tomopy.angles(proj.shape[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Perform the flat-field correction of raw data: $$ \\frac{proj - dark} {flat - dark} $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "proj = tomopy.normalize(proj, flat, dark)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Select the rotation center manually"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "rot_center = 296"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate $$ -log(proj) $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "proj = tomopy.minus_log(proj)\n",
    "proj[proj<0] = 0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using FBP method with the log-polar coordinates\n",
    "$$ \\hat{f}=\\mathcal{W}\\mathcal{R}^* g $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj, theta, center=rot_center, algorithm=tomopy.lprec, lpmethod='fbp', filter_name='parzen')\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :,:], cmap='Greys_r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Reconstruction using the gradient descent method with the log-polar coordinates\n",
    "$$ \\hat{f} = \\text{argmin}_f\\lVert\\mathcal{R}f-g \\rVert_2^2 $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj, theta, center=rot_center, algorithm=tomopy.lprec, lpmethod='grad', ncore=1, num_iter=64, reg_par=-1)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :,:], cmap='Greys_r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using the conjugate gradient method with the log-polar coordinates\n",
    "$$ \\hat{f} = \\text{argmin}_f\\lVert\\mathcal{R}f-g \\rVert_2^2 $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj, theta, center=rot_center, algorithm=tomopy.lprec, lpmethod='cg', ncore=1, num_iter=16, reg_par=-1)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :,:], cmap='Greys_r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using the TV method with the log-polar coordinates. It gives piecewise constant reconstructions and can be used for denoising.\n",
    "$$ \\hat{f} = \\text{argmin}_f\\lVert\\mathcal{R}f-g \\rVert_2^2 + \\lambda \\lVert\\nabla f\\rVert_1 $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CblSvKc2mm5dBE3wAKIGXUqJcLhvbQMLLWXQ2V8IvZw74zwbliiSqlJ3NfPejmPPr+wm0ixASJdwPQZwO1wlTri6CjXy1VJTDslYKfgE10ws0jTJ8VSFX/r9ru3hn5S6DrXPwlCQJCy9LMQk9zsA3wuVUYVMAkIQjKOfPr81XWwL8FzvhXApqV6VSWbB1YBgB4ffMwQeDRCJhJRI1MwkuDObn52HbDW2pKARgmSgFV7PN9uBtnd+kDHTz3OW6phQbbzMJu18wSx+tTOXoGBcSnub0q9P1XvTzw5rKfNTnbdLbqY+cfu/YT4GFmawVhGYFdyltj+iHzmilAxpJQbrWaxuJqJPYBNnmYnALwSW4F5RCJJAg8biEPmlL97FtPrjtXriF0GhmwM+/57wPkxCZlLGfQtDb2gj8slXNKoqlmKoMfJtCiM1CiIeEEAeEEM8LIX6nfnxICPGAEOJQ/f/K+nEhhPiiEOKwEOJZIcTlrb4JmyuQSNj3MZTSvNcjQSc6+f0eBrxT64FCk+/LTX/eHrovjkKhgHw+b20vmdCctEXzFHSyU6VSMf7Gf+fPz/YsgyZN6X9UF1Azt20pUP39tItOHDVZaakpBMBBKQCYB/B7UsqLAFwD4C4hxC4AdwN4UEq5E8CD9e8A8C4AO+t/dwD4cuStDgnX1JMfwvARTAILmM1lqte2Xh8JJ7WZR7rpr1KpeOINftmOoKCcrYztnqjtYZ+na4ajWbR68pMpftKoVWpClHW5wmUvyeMAjtc/zwghDgDYCOBm1DaeBYBvAPhPAJ+uH79P1p7W40KIQSHEetnG3addO4KNyWZKPzaLdDqtOlSpVPKkR3ksgF+XLzfPO6PufpjiHDq4W0C0afqeTqc9rgQF5OhZ2EZrvzSmq59vAg928mdisvio/GLSjfmzjHLkX6wZlqFiCkKIrQAuA/BzAGtJ0KWUx4UQa+rFNgIYZaeN1Y95lIIQ4g7ULIkFkedmEKZz+CmERhCU6gNqCsEvAMgVkUkIyKLggUQ9IGoKkFIQkysRnrKla2UyGXVOPp/3tCkMl0EX5rAK1qSc/RSDLY26lKL6YaFT6dt1L85KQQjRB+C7AH5XSjnt00DTDwvelpTyXgD3AkBfX19L1HwUQaBGNbXOf9ADgIBZIdjYbbowmBZFIcHgdXD/n4MrDpOSSiaT6O7uVtfiboWp3TaWKG8/pxcHwS8+QfdjYxfq9QRlnZrtJ60WVuKWtEsxOCkFIUQaNYXwTSnlv9QPnyS3QAixHsB4/fgYgM3s9E0AjkXV4KjgEhQLoxBMBCfytU1sPV2YbW3Sy5jaxUdiPqrrFgFf3JXOobaRlcCDfADQ29uL3t5eJJNJnDlzRikH0yiu34NJWdjgVzYo22Krj58fFAsIAl3LdF5UysVWb7vjCoFKQdTu9KsADkgp/xf76X4AtwH4H/X/32fH/5sQ4tsArgYw1c54QhBa4Xv6jZL0G7kN+nEXhcCVCsUjggg3fiY/uREU50ilUli9ejW6urqwY8cOXHLJJRgYGMDAwAB6enpQrVaRz+cxMjKCgwcP4pVXXsHo6CgKhcICq0QHD5T6+f66i9EMocg2N8IGF2uCl1vM+AXQ+jSmi6VwHYDfBLBPCPHL+rE/QE0ZfEcIcTuAowBuqf/2QwDvBnAYQA7Ab0XaYkfYqKR+8Jt0E1S3qQxZCkFug82018vaWI9Bi7Zms1mUy2WlDFKplOJLvOlNb8L73/9+DA4OKjeCRlZKXyYSCQwODmLdunW45pprUC6XUSwWcfjwYfzLv/wLjh07poKXpLSAhZwCfZ9OHeSuhRlxuUDbyFRBI7nr+7Qdb5VZb6qTP9tWKQaX7MNPYY4TAMANhvISwF1Ntis09BWGdAQpBD167MJfMF2LU2pNVoCJTETnmeYAkKAUi0XPSE+jrmmKNbWLt5XIQMTz37VrFz71qU+hr69P/U73zsuZ5lRUq1WUy2Xs3r0bl1xyCaampvDII4/gsccew5kzZ1AqlVAul5Ui4O6Li2XkApsQUnvD9gGbYPsFNem3dgYz9cBtK7BsGI3NopEH7Ze3J/C9Gm0Wgj4hR8+C8Dpo5ObpKh4n0N2FcrmsjqXTaXR1deHOO+/ElVde6VEEiURtDwmyQnQiEVcM9DulMleuXIl3v/vdeMc73oFCoYC9e/di7969eOWVVzA9PY35+XkUCgXPMzC5WMBZKrCL0rBZdWF9cB57cRXwxcxqtJrw1HFKwSa8vCOEDSq5LrEV1BH0EUrfvNUEk7nM6ygUCgvMcT5fggRfbydPMRaLRQwODuLNb34zfvVXfxU9PT0AvBOoCLoJrmdRqA18E5pEIoFsNqtcj6uvvhpXXnklkskkTp06hR//+Md47rnnMDk56SFakTIMQ5f2cw9sioafa7uGq5AvRVpy1Og4pQAsfDHNmKKNjgy2TAWNdKVSyeMemAJnJh87lUopweRCR22grIItDchTV5VKBf39/fjABz6Ad7zjHbj33nuRyWTU7lL6uaZoty2wxq9PFkoqlUImk0GpVML8/Dzy+TwGBgZw6623IpPJYHZ2Fr/4xS/w8MMP4+jRoyiXy56NbPyupYOnUV2h33Mjo307FQIfBJYkT2EpwEae0dfb0+FHbNHr9FtuzAROQW4EXFmQQiFh8WsrXVuIs4uw6Ipp48aN+MM//EOsWbNG/Z7L5dDb26vO589FD2Dy48Rn4OfosQYqm0qlkE6nFyjC/v5+3HjjjbjxxhuRy+Vw5MgRPPTQQzh8+DDGx8eNadUwMKVmbYu3ULtdAstRwJWdqAdng4KkrVAWHaUUokIUpCYTSDgpSxBkJdiyDPw6vPPahIUHvihTcO211+LXf/3X0dXVpdp255134tvf/jY+8pGPqLbagmW6EuVWDffB9U5JioK7MFyhUdlMJoPdu3dj9+7dyOVyOHz4MH70ox9hbGwMZ86cQT6fR6lUQiaTMU7ICkK1Wl0wyzKMJRI1wlo1roNNK6yHjlcKpjULXWMKYVNmOvTOxDMIfh2Xt1mn7prozyY/lnL5+vGVK1diz549+PCHP6zqpTUgV6xYgdWrV+OVV17B+eefb1QInEJta7spfmNKB/L2+TE1+/v7sWfPHlx00UWYnp7G2NgYfvzjH+Po0aN47bXXVLsok6HHDvSIvD53hGc9dMXQTHA5amXSbpKSDR2tFEwvJQrN6cext4HmDHCSkj5C2gSD/+aXWuXZhkwm46m/Wq2ir68PO3fuxMc+9jEVN6Df5+fnkUgk8J73vAdf/OIX8fGPfxzd3d0LaM76c6hUKpibm1PcBl3A6Dsf2ajOIIYmfw6JRAJdXV1Ip9NYsWIFLrzwQszMzODf//3f8dRTT2F6ehqzs7MAgFwuZ2VUmkZY0/NuFK20KpZKALNjlIKLFtXz8q4I8zL0GISfAnGNgNP3IK6F6RwSyGQyiU2bNuGuu+5COp32mM50f6S41q5dq9Yq4MJbqVQwMzODmZkZFAoFnD59GkIIz9qRZIllMhl0d3cr64PcFD6himBShuRm8NQnKbF0Oq0yJh/60IfwK7/yK/j617+O/fv3Y25uDitWrABQy+5Q5kVPocZoHB2jFEwIGolsv5totKaR0iWIwynHPAXpN1Jx0LmVSkWxDm3XofvhS8LPz89DCIFVq1bhN3/zN9HX17dgOXjumiSTSbz1rW/Fz3/+c7zxjW9EMplEPp/HqVOnMDExgXw+b2y7lFJdiz4Xi0WcOXMGo6Oj6O3txcqVK7Fq1Sp0d3crzgN/jkHKlytMmodBGZRPfOITOHDgAL7yla9gfHxctYWejYlZaOOBRIF2BShNaHUmomOUQtDkmnbRTF0m+eiZAp0kpNdPDEEqa7sX2zTrrq4ubNy4Ebt27VIpTbICuDKhcwYGBvDoo4/i0ksvxcTEBCYnJ62uGLVFXzSW31MymUSxWMT4+DhOnDiheAsrV67E4OAgstmscmcowEpzL/xoyrztyWQSF198Mf70T/8UX/rSl/DMM8+gWCyq+AdXQmFgyki4IEgZNFqvC1qdmuwYpQB4BTKqB2MjQgWlIXk7hBC+m7/aOpDuNrjEMXQ6NFkFd911l0fJUNs4aH6ClBLbt2/H3/3d3+H6669X19aVCCk3Ci4Sp0AXVhJmElAiKM3NzWFsbAwA0NPTg/7+fgwODqKnp0fxGUxxCg6+r2YikcDQ0BDuvvtu3HffffiP//gPTE1NAcCC569nQEypycUY5TuB/NRRSgEwL4bqx1IzuRB6ZN9vLwQ/8M7mwm+wXYNPQvIrp99vIpFAPp/HBRdcgMHBQU+H069dKpVQqVQwMjKCM2fOYNu2bZiYmMB//dd/4Y1vfKNSLrrSqVaryOVyAM66EIB3tSgSapNSo9jB7OwsZmdnMTk5iXK5jMHBQfT19WFoaAjZbBbd3d3KxSCBNllllE35yEc+AgBKMdjKUhtNMxxtvBQTwroL7SIatQJLIwfSAKKYUNNsFFpvg1+qSy9LQqXPoHSh4dKInUwmkclk8J73vMcTWNTvi8zsyclJTE9Pq+NXXnklxsfH1QpLvO0UYORuDd2z7u5wgeHPRf8P1KyV+fl5TE1N4cSJE3jllVdw/PhxJdjc6rCBrJNbb70VmzdvVpkRDh5A1VOUpufaDiFu1/4SzaJjlUIz8Mut899d65mfn7fWZWNSElzSn3zEo7K0hN369evxhje8YYEg6VTpmZkZjI6Oera1F0Jgz549eOSRRzyuBxd6AMpfp4wFUZopYGsSSJPSpGvwuMfU1BTGxsbw7LPP4plnnkGhUPDMsOTrMXAkEgn09PTgc5/7HC6++GLfZfapnkbeN0/rNgvbvSw1dJxSML2kZrR8MxYHCSiPCfA/6gS24KHeQXRiDB+pgbPWDSmEbDaLO+64w2Me85GPrl+pVPDqq6+quqhcOp3Grl27sGbNGjz88MNKgXB/nLsq/f392LVrF6666ipceuml2LZt24KsAp3L//Tj+v2TsE5NTWHv3r0YGRlBoVCwrq3AU6N9fX34oz/6I2zdulVdh5fTnytdy0/Z8D/T78sdy/oObaO0H7EmbATaT6nYOhD54PPz89bl0W0Lu/K29/T0YPv27UbFQ6M4CS0RfzjjkhTPJZdcghMnTiCXyxkFl+ras2cPdu7cieHhYWzYsAHbt2/HRRddFPiceJ00L4KO89/JZTl58iT279+PyclJZTnYrI5EIoHe3l78wR/8AVatWrWgjO7SmdwbjnaO5C4DUpSWiis6TinQi43i5TVbB6Xi/OrnwkpBMg4K1OnBPX4NDiEE8vk8UqkUdu7cqerjwq7zE2jKsg4yq2kFpoceemhBIJc65YUXXoiBgQGkUinlw1MqdOPGjb7tNQV8+TPRMxAAMDc3p5Z+0/e1oPvk11yzZg0+9rGPIZvNLkhP8v4ShYDZ6vCzMHS4cg2i6uth0HFKQUcjM+mAaBSCDheCDoErEx6s499taxqST3/ppZd6iDvciqDP1WoVg4ODCzIuFAehTrx+/Xo1CYkCjX19fejr68O2bdvUTMtSqaTK0LXOP/98rFy5UgkjKQ290/MFVFw2kJFS4rXXXsPBgwcxPz+v2sxjFvz5vOENb8ANN9yAlStXGp+Jq9vZSN8IOyciisBmEJW8UXS8Ulgs+PEl+OQdXt7Wcbgy4Sk5SjFSXVxJpNNp7NixQ5UzzTcg66Cnpwevf/3rFRV5dnZWCTaPzF9//fV49tln1ZoL8/Pz6Ovrw9q1az2EKBI4GsGFEBgeHvYQpnTSlGlfSN1C0J8pxUWmpqbw4osvqgCkSTFQXbfddht27dqlVoXi1wmCn4Dx9xMk9GEshmag8y+iQkcrhbCTlnSYOoGr5uWC63IdHlTju0zz6DgHD/Bx5VAul5FKpVAul9UcAL1dVDevp6enBxdffDE2b96MTCbjUSQU0NuwYQNOnz6tFohZu3Yttm3b5plcRc+cCzCRitLpNMrlslI4NAdDf0+mdDB9JwHW04yTk5M4fPgwisXiAmuIK8q+vj7ccccd6O3tRSaTWZCqdbFOdOiTrcKg1YqhFa5FxyoFv4fdKrOK6qbRTc8M2NpmYhaa6vWbup1IJFAoFBS5aG5uTi3mqgfOuA+vk4qGh4cusvoDAAAgAElEQVRxxRVXYPfu3Vi9ejV6e3vVSD84OIgrr7wS5XIZu3btwvr16xfcF41O5CaQ0KdSKWzevFm1g9Kh8/PzoSnIJuFNJBKYmprC+Pi4x2LQadEAMDAwgNe//vVqcpZJAelB2WazUDZ0QgpSR8cxGoHG04iuHZMLVNB1/dKKQdfkqUS9Lr96iC8wNzdnzKboMQq9TiEEent7sX37dk/ZSqWCTZs24fvf/z6OHTuGrVu3ehibpvZxd2HTpk04ceKEipfwWZh8y7ow74/uj1yJV155BQMDA2oVar0s/X3wgx/Evn37lIVlc93CxgJMMLEpO1EZEDrWUmgELqacC8ONByubGWHITKbrmXxx/bqpVEqZ52RKB416NKLyfRxolKc4Q7VaW6mou7sbl19+OR599FEVkNR3tOaWB/fvK5UKXve613ko0/Sf6g96Xvwd6e+CrnXs2DGP4qY4DA8obtmyBf39/Z46TdaH/t0UCwjjAvC0Z6us1VZjWSoFl6iy6UWTYJLwuEIfFXRmIafb8tiBaY9HE4RYuKEMADz22GOeIJ2JOMSFJpGorVVAvjYF48gVoLouuOACvOUtb8ETTzyh6uaKwJROJEVA+0/ygCm3MviO2bY0Jf9u4k1MTExgZmZG1WGylpLJJC655BLP/Abd3Ygy3cfrclUGOlFqqRCjlkYrQkDf7NQGl6CSHvxygV/a0e+l6vsdcCHTO4TJbeFliFvw7LPPGl0dl3tJp9PqWepBPiklNmzYgJdfftmzbb2pzTwlSkpi48aNSgHytpBwcsWg10PtN33mZvorr7yiFKWNUn3TTTchm802xW1p5DyTMtOxVBSACYEtE0J0CSF+IYR4RgjxvBDij+vHtwkhfi6EOCSE+EchRKZ+PFv/frj++9ZIG9xAPtiUKdA7Eh/NgzqClGd3ZuId1YUgw/1bU/YkyEohQSuXyzh06BCOHj1qtXqoPAAPd4ATnbiFQaOtEDUq9bXXXovR0VFr2pXq4JaIlBIDAwNYv369KmcjVpkyEqZr6azESqWiNpmxsRMTiQQ2bNiAvr6+QAG0vetWxgV4urQZtEK5uNRYBPA2KeVuAHsAvFMIcQ2AvwBwj5RyJ4DTAG6vl78dwGkp5Q4A99TLRQbuezfzQMJQTPWRjBYkNXVEILgzcV+bgoZ+U3h1TkMikVD+8m//9m/ju9/9rronE1OOr9RE7Sd+AdWXSqU8wl2tVrFp0yY8/vjjan1H/hxso2AymURPTw+2bNmCRCKh0pu8fRRfoPSlzdrh53GQtUbxDtO7kFIinU5j9erVincRBq1QCDyFSs+BMilhLBK9/0ftfgTWImuYrX9N1/8kgLcB+Of68W8AeH/9883176j/foMIk4+KCC5EFA7XJurbu/Hr6dx6KtPM7Zs6M9XZ39+PZDKJv/3bv8UPfvADj4BwBcEtBGo/H5mTyaRnshRZP9VqFT09PSr1qZOy6Bpc6fA1E4lJ6bcAjZ4pcTW7KdDKz+Ogd7x161YnspHp3Gag1xkUPwkDkxKJMj7ipFqEEElR23F6HMADAF4CcEZKSW97DAAR4DcCGAWA+u9TALwzVWp13iGEeFII8aRfp2kGYSLAQUpEH63DmH1+Gjyoc5iu09fXh2QyiWw2i4GBAaxYsQL33HMPvvCFLyg/mxSBHhyk7ee5uU/nJBIJ5HI5TE9P4+DBg7jvvvswMjKCP/uzP8Mtt9yCw4cPA/Cuk0CEKk6bprpoToT+HmiU15+Na2aCyp08edL6DCle8sY3vhGDg4Mebgi/ZpTmdzsDhnSdKJUBwYmnIKWsANgjhBgE8K8ATFPj6I2aevmCty2lvBfAvQDQ19fnnLtpJM1jMqnJh/aD6WHrPqwpLsCvYTrXVM60y1UikUCxWPSszEQWCb9+Pp9HNpvFt771LfzsZz/DRz/6UVx99dVqxWXeTorG04KtR44cwaFDh3D8+HEcPXoUo6OjGB8fh5QS/f39yOfzqFQq6Onpwe/93u/h3nvvxdDQkCIGUbYG8K4gRZ9pHcZKpaJSkvQ++G9037r1Rf/141JKjI+PY/v27Z71GYAaj6NUKiGVSmHFihWe7INprwz+3BtNIwbFupqp2+RetTLeEYq8JKU8I4T4TwDXABgUQqTq1sAmAMfqxcYAbAYwJoRIARgAcCqqBjf6cF20t0l52EAvxTZK6bMew4we1A4epOOBvUqlglKphGKxiFwuh9nZWRQKBRSLRTzxxBM4cOAAhoaG0N3djXXr1uG8887DunXrsH37dmzfvh0jIyMYGRnBgw8+qPZ9pOXQKCDZ39+P6elpJczUhu9973tqDQdRT5WSMOvkpFwuh56eHszNzXkyJzbT2i/IqLtkQC1WMjMzo2jYUkrk83nk83n09/djfn4eK1aswIYNG3DmzBmPsvV7J6aAdBhzn+qPCu32vgOVghBiNYByXSF0A7gRteDhQwA+CODbAG4D8P36KffXvz9W//0ncpFZHK4PtVUPnwuECWR2+yka4CyTkbIf09PTyOVyyGQyuOCCCzA6OorTp09jdnYWw8PDAKC+HzhwAD/60Y/UdWieAlkSmUwG2WwWuVxOLeICAL29vWqvhf7+fvzkJz/BjTfeiE2bNnmEEfDulyiEwJkzZzxpQwJXdtz64c+KPxtTOVKas7OzGBoagpQShUIBk5OTWL16NarVKrq7u5FMJrFq1SrVNm6V6df066bNKgZTIDSK/sYtM8C+DkcYuFgK6wF8QwiRRC0G8R0p5Q+EEPsBfFsI8ScA9gL4ar38VwH8byHEYdQshA813LoAuDxUKuPCa3BFUAzENCMQgK/pSr8TqBPRyMqJTyQgmUwG119/PT7wgQ9g5cqVOH36NO655x7cf//9OHnyJNasWYNsNqvujbagB84uTkLBOoqEk1lfLBZVe7LZrDLJs9ksJiYmcN5556nzurq6PGlaoLYewunTpxfci+k5256nHg8xBXZnZ2fVczly5IjKevBJXxs3blSrR+vP1wUufcNkeZgUvZ9VFARd0ZiUGTFUTfNrXBGoFKSUzwK4zHB8BMBVhuMFALc03KLg9jiVW4SERyB4ZF53C3Rw3gBwllhEHb63txcf//jH8fa3v10RdKSU+NznPoexsTEcOHBALedGsxX5dGLeBvpO16HvNH2alAexIb/2ta9hx44dWLVqlXJnMpmMSnOS8A8PD2N8fFzdC/23KU0SdGqbybJKJBIeJTIzM4NSqYSxsTFs2bIFmUzG86wSiQRWrVrlqauZuIFruplfhw8GzWYd/L4DzSkDwtKlVbUBfoSZVkDnO+ht0cvxDAJRiVOpFKanp7F9+3a87W1vUyk/Yh5eeOGF+OQnP4mBgQElCDzdqEfHU6kUMpmMVQCpY9Nsx1OnTqGnp0eZ7OTS8HPoWtu2bcMFF1yggpK6MM7Pz3tSrrQ6Nadc6++Hf6d7mZiYQG9vr+JakJVAZS+88EJks9kFI7kti6Sn/Hhw1C82pJen52sS3nZlKRrB0myVBtMDXCxLIOoUkK4kbB2lUqkgn8+rKdO33HILhBAoFosoFovKvJ+fn8d1112H3bt3Y2BgQLkDpj0eKSBKAUYCF95UKqVG5mKxiN7eXgwNDWH//v2KK2Dyj5PJJNLpNIaHh3Heeed5FAyRtWyCT8cofUrfqW30uVKpYHZ2Fi+++CJWr16trskhpcTg4KBH0XBriMP2bpt550H7SkShHKJWMB2hFEykoE4E7/yc1UgwvVgajWnvBkoPkunOmX1kMaxYsQK333471q5da1wo1dY2UlC6j08Lu5Bimp2dxde+9jW88MILmJ+fR09PzwLuArcYBgcH0dvbC8AbP+CBQ/1Z0O+m58YVw6FDh3DJJZco68DEe8hkMhgcHERXV5dKyVJd9Ext6Wc+X8PkcvlxE2zZFFM/blSoXVm0oeqMrKZlhKCXHbYuG/w49zSa6svHV6tVtTiK7r9yUtC1116LO++80zOXQh/xuFlsAj+eTqdV7GJ0dBSHDx/G5z//eZw5c0YFIk3ZAYqBrFu3bsFzIYqv3hZupptSkXTshRdewIYNG5TC4QLHz0smk+ju7ka5XF6gNHQBtVGI6fn5+excEfqlV6NcQq0V5KWOUgrtigHoD1pnwIVRFI2+MJMfTam8VatWKcKOTmsGzvrqb3nLW3D11Vcr98DkV+vgLDlu8pfLZfT09KhFUcm8P3ToEAqFgqe9OpU6kUhgeHgYfX19alSemZlZ4NLwVCgpOP78SPE88sgj+OlPf4rBwUFFpOL9ggu6HuDk7oXen/xcVJ724200PT8b2hm/agYdpRSA1i61pkNXDI3SY8NocxudmjpTNpvF61//elXW9ixIqD71qU9h9+7dRj/a1Mn5KMZHVoof0G7S69atw4oVK/AP//APasYibw+3QBKJ2oQr8vu5YFCaUA/icQVH73zfvn146KGHcNVVV+Hqq6/GmjVr1NqQXOD0/zSrslAoeMhWBJui58/WtJ6FDUs1gOiKjlmOzUQGaYfWtTHfojTZqPPZ6uSUZgDYsWPHgtFQBwlZT08PPvOZz+DAgQP4p3/6Jzz99NNIp9NKkKrV6gIB0dOBemCP4/Tp09i7dy+uueYaz0QqLuQ0ytJCs3SfqVQKuVzOsyITKSI6J5/P4/HHH0ehUMDll1+OPXv2qKCqEAJDQ0OeTIMpu3PmzBm1O7VNiZqsDI7u7m6jYjD1j1ZRkE0p0SB6dSNY0kqBHgIRY1z2ClguMCkKitgTY08vr3dsEhApJXbv3o09e/ZgdHQUn/3sZ3HixAkVkeeCRHwEKc9OlCqVSooGTfWS5VAsFvHCCy/gDW94g2qvPmpz5dPb24tTp0552krp1OnpaTXNeXx8HE8//TTWrl2La665ZgFxidyXNWvWGIWSjpXLZTz88MPI5/PWEdylT9FzCit4QYHAMPVRjEmfCr8oE6IWE5xU08pJIPr1Gr1WIxaMX3mKlpMv3tXVhcHBQQ+5yUSY0UdqwnnnnYcvf/nL+Mu//Es8+uijykUhxUDn0ByIqakpSCkV85ETpaSUmJ2dxczMjEdg9LUYictAXIvHHnsMfX19yOfz6nn19fVha32acy6Xw+rVq3HTTTepdpGC4u7junXrVJs58YmjWCzipz/9qcqI2FbSdnlnQTGEoD7TrNtLsaFWuydLWim0Qwm4XNPGy9fRiliHzkAkcg9PrfHr69YCVx6E/v5+fOQjH8HLL7+M48ePe/a01NeL0K/DfX1SVjTPgpZy060FcgNOnTqFX/7yl7jsssswMDCgqNRCCOVacJIQMST1tCXVu3r1amO2gZcpl8t49dVXraQxus9GYXMv9TKtjIM1YsH41hdZTYsAFyGN8mXoTLdWw3SdzZs3q7kGfnlw3YIAvJ1/69at+PSnP40dO3Ygn89jenoaU1NTyOVyKJVKmJubQ6FQAHDWSqN0J9VN3Ildu3ZZI+v5fB6jo6PI5/PI5XK46aabsHbtWtUesn6oXroeX8LNVO+qVavUnhWcKcrfd6VSwbe+9S2Uy+VAEpFfX9FTpHq5ZrMKzYz8rXCnl7Sl4AfyeW08eqD9rMeorscFmgt4IpFANpv1xBt4ys2vPuDs5CqKTezatQt/8id/gqeeegoPPfQQTpw4gdHRUczNzaFcLqsl32huQ1dXF9LptBrdc7kchoeHsWXLlgVMw4mJCZw5cwbd3d3IZrMoFovYtGkTenp6kEwm1aKznA9ALgbFGajtetqwWq3ivPPOU7Rvevb8OQhRm6X52GOPLXgOuqIxCbnp+ZmOBbl+QQNIFAoh6n7esUqB/CtXtIL55dcxmjHp9Pq4QAwODnqi7baOTsdMk2iEECrKPzg4iJtuugnvfOc7FSPy4MGD+M53voOHH35YTc0mTgEnVBWLRTUDkZQXRfpXrVqlBH3NmjXquul0GitWrFCLvJDiARbOEiVLgpQH1bFmzRplXXB3icrQ8nL33XefcVdw/kxIyXGWo2kylsnScHEddEQlwH6Zqmav0THuQzMatZWBGdsLcFUIJoYdH0F1we/v719AwDFNxKHvJtCaDFwQyL/v6enBZZddhj/+4z/G7//+76udqHXikxC1FZ83bdqklMKRI0eQyWSwevVqtXALbU4LQE28ymQynu3r9fkKnAqtj4ZdXV3YuHEjenp6PHMjeByhWq1ibm4OTz75pFp0lgeqOS+Buxb0Oz0fchXJXdNZkqRQ6FnrbEgeBNXRbByD7qMV6BhLwS/y6yKAQSZ2EHSBMI3CJkpuEPzarlsbmUwGw8PDC0hGjYCEiCsUcsfICnvrW9+KVatWYWJiAsViccGmr8RyPHXqFGZnZz10Y7IuyFXhVGgpa/tKnDx5csHu0DxuQdcgoU6n02p6NOBVGDRxi+r6+te/vmAOh27Z+S2n78cH4O+WL0WnwzbzNEqcc3MfyFT1Y+25+Gw0lyCKB+cn7GG0v05N1hUKr4s+p9NpbNq0ydOpG20DKTV9xiJnJvb19eGGG27wtJGyDvl8HsViEaVSCSMjI+jv70dfX5+aI0GCS8KsrwKdSqWUEtEtF/0ZUZnNmzejv79f0Zr5PVMsQkqJ06dP49FHH1WLytJ719+/vritH0xumO1YUD9b6lybJa0UiHnXzKgYdTqIOm+zCoZ3RpcgIQA1FZlHwnkH42skcmFyCYpxgSyXy2qH61/7tV9TAk6WAilaiuls27YNQ0NDnlWeuCldqVSUsuFpT516rbeTcwq6urqUEiHLgYPqmJ2dxRe/+EVVny0zYQLVa6Kz2yzVdmekdPBrR9XPl7RSiOpBB2lmLkhBqatWwqYo6DMPrJry7q+++ioOHTq0wP/lZCMTyGoolUpIJBJKGQPA4OCgIi8RbwCorXiUz+fxpje9Se0NQe8rm816SDb8PSYSCeVW0PqQ/B45WYlnWYaGhtDV1WVcFyKRqG06Uy6XsX//frz88svqPJ7epOuESVXTJC2usPS5EmGE0fR+G2FJcrKZzbVpFB0TU2gl+IuyWSWuL64ZNiMXIlMmIZvNoqura0HHohGrXC5jYmICiUQC559/voqO66k607XJ6qDl2/ioOTQ0pGIN+Xwe5XIZc3NzuPzyy/G+970Pc3NzC2Y4mtw+YjRWq1WMjY1henraQ1LSBZCCgxS81C0MbimRcPzbv/2bJ0ZBdQVtSMOfh566DbIE/N55I3EmP9hIWFESmJa0pQA0by3YZsCZ0CwBJcy1guoi6AzDbDa7YJ8E6ri02MnJkycxOTmpygAL05NcmHj7gbMbqQghsG/fPhUT4Csb7dixA1/4whfQ1dWlBJ0ITnyPRwBqyjIJ6YkTJ3DsWG1HAGoTZTCorWQVkQtAdeiuBl2byk1OTi5IKYbJBOmZCBPoXnWFHvT+bUu/hUGr2ZFAB1gKrhrQlp9dLF8vLGydiUYrCuDxfRg4V0EIoRh+1WoV+/fvx+7du9U8CR5w1ZdeM2VWKBvx8ssvY3JyUs1JKBQK6O3txd133421a9d61mjUg3Z83grfqIVnJvgy83S/5MZRHKKnp8d3sVe69uzsLKamplQA0RTEJVB9pudOcQ+uqOi4XxsA88KtprY2AxM/4pzJPgBuN9tqzemCqANOJBh8pOfLvRM4Bbenp8ezc9OhQ4c86wdQOdumrIRyuYyRkRGUy2Xs2bMH2WxWkZLK5TLuvPNOXHnllSoOQZYFz59TTIGb/KRsuru71eQkIiHRM6R74gK0YsUKzyhM5fiiqEIIPPvsswvcI9MckSDSG7WT2hGUWrS9e5Pwcy6Fzi9x6ccma+ScCjSGxVJQDmFBncHUoTgJhmYenj592uof085OdF6hUMCrr77qUQDkk1Kn5BaWEAJHjhzByMgIhoeHIaXEli1b8Na3vhXT09OYmJjArbfeiptvvlm5CrxD8uXVTWlVUhCFQgE9PT2eOQ/6CMuVwoYNGzy7VPEAJCGRSOCZZ55ZkK4M6hM8k0RTuPm5PKXJYbKIdNisDFMQWS9jgp9rYrOUG8GSdx+CEHUgxw/66BAldMsA8CoG2lehVCotWDKdt2vz5s2YmJhQx48dO4ahoSEMDAwsYEkSR4Gi9+Pj4+jr68PGjRtVmb6+PvzGb/wGjhw5gvPPPx+f+MQn0NPTo8x8UlimCDj9TnWRq0FrJnAhJIXBZ19KKdHb26uWl+cgxUbPqFgs4tChQ57nSfVxspkta6BbThT0dHVfwwT6uDvXLFoRY+h4pbBYRBC/lxrVC+cvm1Z0phWEeMfidFp9+TYAOHbsGFasWKHiB3rbyuUyTpw4oWYe6spv165d+PM//3P09/djcHBQBRLpun7ZDfqu72ytw6RwKbCqb5yjr9dA15ibm/NYPXzznaAAYpidzxsJJvOsgZ41ahYuHIwwcL47UduOfq8Q4gf179uEED8XQhwSQvyjECJTP56tfz9c/31rZK1dBvALfukKjgsVBRuff/55Y7qSTHYK4lEEnxZKOXTokGexFn698fFxNcmIR8jJPUgmk7j44ouxadMmAF6iU5Aw0epMXImNjY0pHgJ3K3jdlOmgFKxtRCRlSDwFOqbzGej6/Lju4vDj9FxN8BuIyOfXzzUJf5TWZpSDYxiV9zsADrDvfwHgHinlTgCnAdxeP347gNNSyh0A7qmX63iEHR2C/D+C7WXaJtbs37/fU073bYUQGBgY8GzykkgkcOrUKTz//PMoFAoe0/rYsWNYu3athxhEnAcqV6lUkMvlkMvlPOlG3d0hE52yHESG4qPk3NwcJicnkcvlFuTc8/m8ug9SCn19fUohUFpUp0xTm/mkp1wu5wnqAfal1fn7qFQqynVwYa7yc23vnCs+PZ4QNMIH9buo51IAjkpBCLEJwHsA/F39uwDwNgD/XC/yDQDvr3++uf4d9d9vEItl40cIHi12zTLY0l2mIJz+iPRrUF1zc3NqNLWZ7P39/R66LtU/PT2N5557TtVx/PhxbNy4ccFEJ2I18lhAqVRSoz5PF9IIzVmTpMT4LEa6pxdffBHA2ZmRZAWQQuDKjCwfHlcxPRNuXQAwTpfWn5P+rAk8PcqzKZzPQbAJtN43TOdy+CkG3ga6B34ffnODGoWrmvkrAP8dAN3tKgBnpJRkO44BoLmwGwGMAkD996l6eQ+EEHcIIZ4UQjwZxp9bbCwG74HSeZVKBXNzcxgfHzemsUjA+BwFwKs8CoUC9u3bh6efflrNuOSmOc+G2AKrvD5dyemZDX7+6dOnlYVA9VCn5vtS8GXduru7Ua1W1WxKk/tF6U0KXtIx3m7dSqD7NBGtgIVuEWeHhoWeSaJnFAVaMd4GKgUhxHsBjEspn+KHDUWlw29nD0h5r5TyCinlFWEWSwG87DGuxduZkvRjr0XJWeCjJIGCjQQ9rcg7NCkHMsfJlXjppZcwMTGxYIk1AtVHbouNeMMDjfyPrAlOFaY5CUKIBRO1qG3UF8rlMnp7e9U+mDZuBrXHtJ6jKTvDj+vo6elZ8O5so7wpjcxhsggb7Q+6dcJdpihTkep6DmWuA/A+IcQRAN9GzW34KwCDQgiS5k0AjtU/jwHYDAD13wcAnIqwzQugB85aCV0ZmJSTrSw/7goaoYgklE6ncfTo0QWEFU691bkCfA5AuVzG/Pw81q9fj/HxcZXG44qVd3ibcuNKiMcSeHkusC+++KInO8CVHacv0+pPBLIUdAHXU6D5fB6Tk5NKSekuld52W18hV8nk73PlZxNw03FTeW51LDXvOrB3Sik/I6XcJKXcCuBDAH4ipfx1AA8B+GC92G0Avl//fH/9O+q//0RGOITbhCyKgItNuMPW0egxG2i0pRH/5MmTasUgLoimIJb+6GdmZrB+/Xq1VPvU1BReffVVFVj0C37x33TLgIOETkqJQqGA5557TmUckskkstmsWnOBWxrclJdSqkldep0mIRodHfUoP4IpuEjvmAsqcS/oWgR6tnwZfF6PXs50Lf3Z6c+qEbSCn0BohqfwaQDfFkL8CYC9AL5aP/5VAP9bCHEYNQvhQ8010QtbEKcZU91GG20Wul/u2g5TMI06ZqVSQbFYRKFQUEJAQTsSKn1JdkpFTk5OYs2aNZ68djKZxOjoKAYGBtDf32/kHLgoG+420Lk0d4I2f0kmkx5aM6cpE4eiVCqpeR482OknAJVKBUeOHFHX5YLMnye3qkx18PUng4TVZBXqu2qZ3n2Q22GC7srwa7RCMYRSClLK/wTwn/XPIwCuMpQpALglgrY5ISpWWKPnuLIc+cjUSOaCL2tGkX2avZjL5VCpVFAoFFAsFjEzM+MJaBUKBbXBCjdZSWhKpRJeeOEFXHbZZZ6MAY3K5JboVoLtmRSLRUxPT6tMA6VJuRVGsQPKFPCVmUulEnp7excsu0aKwxR9HxkZQSKRUO6HXxyBCyZlOPTNbE3vwm901s+NSlj12InJKosaHc9obDf0l2/T4vx3F2tBj1Nw0ItPJpMolUooFAoqZZdMJtHb2wspa5TgcrmMVCqFJ598EuvWrVMBOJotyeuja6VSKbWs2gUXXLDgusBCboXJepibm8PExAROnDihuA7d3d1qAxt+np5K4yQkKWv0av356NsG8jjJ0aNH1VLyfHUove10baqHOAk2hcCtDT0rwz+7CqvtOrZAro5WWQccsVKICH6jf9TuyOTkpIcPQL+RkhgYGICUEmNjY1i1apWalQicFUZuAZBimJubQy6XU+V559NZh9Q5K5UKxsfHcezYMTXqkwD39fV5lIDu3xMfgdpPO1UBMCoF+q+7KeROzc3Necry6/B26O1pxlI0nW9zHVygx0xMKdVWp8WX1SxJV/gFyVqJsIFMPYBIQbpXX30VhULBE8mnUZTqf93rXodCoeAh/1AdptFWiNpcgZdeeskzipPCMEX0R0dH8fTTT+Pw4cPI5XJqIRVOT6ZrkNCTQglK15mWsdcVIN3vsWPHjOtM6PenX4uCrQc+3+AAABvZSURBVGGW4NOfs19wMYxpzzNFfv2jHf112SkFlwj6YoGP5hy8E+jzE4CFufhSqYRTp04tiMzzNN/WrVtx0UUXYd++fSgUCspnJoEnBaOn8M6cOYO9e/fitddeU+3V25rL5fDCCy/g+PHjAM6urEQKxG+hXVIWPKin3+uKFSsWzFEgAeQCTPc7MjKi4i26a2QbYckS0VmL9Md5HTZwFidvq195V+iKHPDyLqLIttmwLNwH1+xBMymhZkkiui9tCzzyaLtuhpKpnEgk8OSTT2LDhg1KwHmHEUKgu7tbxQeeeOIJXHLJJZ5RmhSMrqSSySRmZmawb98+bNiwAZs3b1YCJKXExMQEjh49irm5OY8i0AOIusKiEVZnEFKbySpKpVIYGhrynGsKsvHnd+jQId8YAj13Aikc0w7U+vvSv1M9NqHUiUYEV4WgK6mgcq3AslAKrmhGqKNQCPSZ/Fmb+Rl03dnZWTzyyCN473vfq0ZdHkQkwezt7cXOnTvR3d2Np59+GoVCAYODg1i/fr1qy/z8PLLZrFpqjVyFarU2T+Hll19WU6qLxaIiIBFBisx8UmL8jysAniK0PaP5+XmsWrVKbY1HypOPxvrKzJVKBUePHkWxWPSkMLm7weeKkIVkcxnovKB4gykT0eyiv65odUzhnFIKrYIfV8JmnfARQaer2iLMPNJ9/PhxzM7OqslPOouQBLOvrw/btm1DtVrFa6+9hpMnT+Kll17ybANHC5kMDQ2p82n9g2q1iunpaZw+fVrRjoEa2YdbB4VCQaUE/dpuA91/f3+/Z1VnPzeQXKlCoaD4DbqFxTeqBaDSuEHpR/1a9CwWG+1ow7JQCs2meRqFX0f3y21zS4G+0zl+kWv6jfzxv/mbv8GnPvUpj4lNCofX39XVhde97nXYtm0bTp48iddee02Z/3Qud1kALJjhWCqVFCORT7FOJpOYm5vzZDL056CbwiZyFN07LT7LY0M8JUvl6djExARmZmaQTCZRKBQ8z4oUGz3fnp6eBcur6e3VYxAmV4d+0xGWrGaDjWPRLqW0LJRCu6H7lwST8tEFnx/jpirv6CZTm8xomrtQqVTw05/+FJdeeiluuukmT1ZBzxIQ6zGdTmPr1q1Yv3498vk8xsfHUSgUFDuyq6sL+XweiURCXYfqyGazkLK2KQzt1ET3pXM19OdAZXi8ga+4zBmI3d3dnnSjyW3gyueRRx5RKznx8vp/btn4gQuerrx0GrUe1NTb0KlY1kqhVRZC2OuYMgkcpk1K9bw+pfR4HKJSqeDee+9FsVjE29/+dkViAhYu+cUVES2oQnwG3j4KhFarVbWC8+nTp5XQplIplMtlZYnw0ZnHFXgbCHz2pilwu3LlSrUGJWcuksVAx6jefD6Pp556yrOBDd9ZikBrJJRKJSv5TFfCJiXOlTYH/W56j2FHdz8SXLuw7FKSHFGnbvQtyAB/5pquDExlaYox1a//ZquThGR+fh5f//rX8dd//deKvMOvo9dBz4RoxZlMRs0zoGnKlFZcuXIltm7dih07digrBTi7TJsevdddCE6MIiVCfxSsJBYjbV3P04B+XAOKq1BqlhOaOL+DUqB8y3kdvG38evy+6Fma9uvkzzpIIbi4nIuNjrcUbKlCnTYcpGldyphWuQlKVbqmR2310GrLXNjIYqCsQyqVwt69e/GZz3wGv/u7v4vzzz9f1WXq6HzUBc6avPw7uStCCLz44osYGRnBwYMHkc1mMTw8DABYvXo1tmzZotwNckFIgejBT70dtD8ltXFoaGhBdoErD72O+++/X53PV7mmMr29vWoCWRC44JveRxBj1TUtHhaLEdzseKUQpBAAtwfr+vC5+dqoe6IrBJ6N0MvQbzrJiEbpZDKppj0fP34cn//85/GWt7wFt9xyi9pZiQs4/0/gSocCdGfOnMFXvvIVvPjii8hms0r48vm8Z6ITTcQCgHXr1uHqq6/GVVdd5XEx+P1QfEGPowwMDCgzn7dTtxrot1wuh6NHj6pdpvTUJW2hp2dD9Hemp4a5ggt6b/z5ucIU5PQLULoMVlGj45WCC6J+sC7KwE9xBJ1vCk7q7Dn9niqVCvL5PAqFAn784x/jsccew/DwMG677TZs27ZNbdRCSkYfBcnqKJfL+NKXvoSDBw9idnZW/Q5ALcRKnZj+yP157bXXcP/99+O73/2u4htcddVVynKh9vNl6Elwt2zZ4rl30w7bpEyImzA1NYWZmRkAZ7emI+IWPS8exzApBH5/PG1pU9L6uSaEISq1mp3YCJadUmhG40aRwowy8mwi0PBFSomfwEcaKSVmZ2eRy+Vw6tQpfPazn8XatWtxxRVX4Oabb1b7P1BOn0bYU6dO4fHHH8c3v/lNta8CbTlHgkWjPFksPLDHI/TlchmnT59WC7j09/fjXe96F9avX694AsR3KBQK2LhxI/r7+xekIPWYAhfE733vezh58qT6rVwuqwwDuXmUkvR7trz+MO+Fc0OaeedRpTGjhFgK6ZO+vj65Z8+epuuhDgG0d1YZweQWNApb/pwsAlMZfi6Nrul0GqlUSo2iGzZswM6dO7Fnzx4MDAwgm83igQcewP79+3Hy5EmV9dB9aj7S03c+0vM2cneHngv5/Ndddx02btyIrVu3qpWhr732WhWQtPVHzqk4evQoPvrRjyKZTKp4AadiB+2VyWnZQZvE2Mhn3O3gZUz1kBVjQ5BSiKr//uxnP3tKSnlFULllpRR4R47KZQgKJPJyHFGmQzntlisF+s0UyOPrF3DhpGOpVArd3d0oFosol8vo7+/3pBf5PehrCuj3R+6HziWga/KJWNVqFf39/UilUti2bRtuueUWDA8PY3BwUJGLdCGjiU70Tj/5yU/ihRde8HAbSLBsQUVubejPy6+f2N6rSZDD9Deql3bf9kO7lcKych94AE3fqKSZOoPQSoVA4DwBgqurxKP3/PnMzs6qDknC5Mf246DYAB9pbSY5t1y4cB86dAj33HMPent7ccEFF+CGG25Q8zKEEOjq6lLtFKI2e/Kll17C6OiochfoXvg6liYh4laIruht57RywNQDxkuBn0BYVkqB0C7Skn69RjoR7wx+k294OVo+zJbq0+vVR0OKI/B6k8nkAnJUEPR1DV3KkytDCiSfz6NSqeDBBx/EAw88oNrT19eHubk55RLSzMmXXnoJa9aswcDAAICFMx15ClO/D67E6PnZhNH0LqMILrpgsedYLDul4KoQXN2CRhCmbi6YJoHkdXET3Ea0cbmu7gcLITyWAk8lkutCfAn9XF4u6Jr0n9iZZDnQikvpdBpTU1NIpVI4deqUCoR2d3fjyJEjatr4qVOnlICSO6DvHcnbZBJ+/ZifMvRTHvzewsCWjlxshQAsc0ajHxrhqPM0XBBMjDcbbCa7bvKbCDwmlqVr23W/XyfwEIiI1EiH1c/jhCZuQgshkMvljPNAaLr2hg0bPG3krEqurEzBUL54DVdQVI5nEvysLtP9hYWujJYalp2lEAYm87sZ68GPlsuvYzrOyTO8Pt5BOVGJ/vS8vosprxOCTHBZ6lwPCLq6Hlzg+flALctAFgFQWzKNAqETExMqlcpjK3rqllsvQdkFPlLrC6j4KVsibi1HLD011Wboo0pU0OtytRxchEpnO3IErfEXdsS3dXzdajH58H7t0EdtqofcFH0BFxPngOIHtjYGKQSynFyDqxy2dSOCsBQtAx3ntKUAuFkGYV9kVMolaMQyZVpIoLjZTJ/1kVlPZ+rXpWvrFotLzER/ZjwWYproNT8/r0Z/yjpQKhOAWsuBrk3ZBH7fYVxC3YQnZUTwu79W+P1LIZZAOOeVQiNoJB/dKEzUXNPagnQdGn0zmYwSHvrdlnYLciNMboFNoXBFZQJPXfLFZmiJNN3/12ndZEHQ/hbEztSnLfu9Ix7kM90/nwdC96QHBBtR/Nxto2wP/22pKAYnpSBqm8vOAKgAmJdSXiGEGALwjwC2AjgC4P+RUp4Wtaf11wDeDSAH4P+VUj4dfdObB39Jfv5hGH85zLXDuAocOinJVF4f+QAsmEVomxFI8Ltvk/C5BuTIbCfFVSwWPVYN3SOtk0CcCALfH8JGE6bR3+++TAFcXi/PujT7/vUAsr7V/VJCGLv4rVLKPYwRdTeAB6WUOwE8WP8OAO8CsLP+dweAL0fV2ChhivL7odEOYRtRwvDmdYEKE/8gE5yvA0DtIjKUXxzC777D3EMmk0Emk0F3d7ca4WmGI1dQnEegL7FO8w3IWkilUmrvBtOfTWny63EQCxQ4y+UwuUFhwS0TDlOgdSmgGffhZgDX1z9/A7U9Jj9dP36frD29x4UQg0KI9VLK4800NCo0M2GqUXBf149wpIPawyffmOrm0NN5/Bqm5eM4hVq/DqU7eX38OZGFxecScHAuBXdf9M+mc+izaQ0LnnnglpFturOLAqVzTVwMune650ah799A9baSM9MIXC0FCeA/hBBPCSHuqB9bS4Je/7+mfnwjgFF27lj9mAdCiDuEEE8KIZ5slynFNXazCiAMDwFYmN0IExDTg3x0jITWtFmIC2jELJVKatQ2tY1zHMhSSSQSauUmwDwK0jOiTV9plSndagHOBjTpGRHzUb9+JpMxPnueteDgCtnmiumxAx3N9BWTotJ5EUtJIQDulsJ1UspjQog1AB4QQrzgU9Z0hwvehpTyXgD3ArUJUY7taApRWQLNvki9c1J9rvWSO2CbB9FI20zEJRqpTcf8zqW2mJQ9jwG4ZAv4nAVSNDyjQn4/uRGmZ8v/c/DnpFtIUfAQ+JwT/Z2QRbLUFALgaClIKY/V/48D+FfUtqA/KYRYDwD1/+P14mMANrPTNwE4FlWDo0SjPp3ri7SxH00xAdvobPq9VCoZTWjb+XxRE1M7/OIeNjPa9r0Z6PEDWomJrqOb8NxS4pOiXNpnu2dSes1aryYLz/R5KSJQKQgheoUQ/fQZwNsBPAfgfgC31YvdBuD79c/3A/iwqOEaAFNLJZ5gQhSuRCthahtNJfZrNwm7aXNY+j0sTGa73vldwJmHXDFxYadyfLQ23QNRpAHvNGRbMFF/FkGxEL9yNvhNslrqCgFwcx/WAvjX+oNMAfg/Usr/K4R4AsB3hBC3AzgK4JZ6+R+ilo48jFpK8rcib3WHoBllY+MU6BwFUyejzsd95UayCzYuQlj4cRz0yUBcyZhmQPL28OBiInF2WTiTdeMq1Lo14jppipdxqX8pI1ApSClHAOw2HJ8EcIPhuARwVyStW+YIciEIekrSNE/CBBfhsKXLwoyMNiuEFJMp2KbXT2Ql3WUi18CWgdHXdCCY+BN+LgNZJboi5G06FxQCEDManRFFyjKoc/mlHglh0mscVK9NoejfKcOg12FjN5ra50euMsUrePuAs6lHcpVMgViagk0rMOvUZ1M7bZkSV/KVCZws1QnzG/zQ2a1vA6Jgs7lexwRXP5STdkzHTeUbbaMpRQnYFRbdg1+wzdYenZlpOo8zHvl3slLI7Wj0OQRZUfSdb4vXyYgtBR9ErQxc6jKNZn5uhl4nWRsubfejKJsUkc2M19N+jc4L0K0BGr396qMRmoKMtDy7zWWwPRuX9Civg1+fw7bqUychthQsWCoTVPwEwoWC7Ao/S8OvPhIAv9/DwMYdCAqUcqug0eXbw9DH9TbZWKudiFgpWNAuhWDiMuhEGlO5IFM9CugKISgNqreh0Xbo5+ppSb0NPPYABK97GcW7tSkEansnxxU6t+WLBBshqVEE8SS4Ca3TpF0Fr5W58TATs4Lula9BqSskzv6jY0Rc4iQtolHrnAcT96BR6ArB1B+WgpXZKGKlEALt0P48O8Aj2gR9joDtfBPd108gbMFA05+tPBf8MK5NGGaplHLBIq2cZp3JZNRybvxZRCWkptjLcluWLQ40NoBWjAIm/1kXcDJT/UYmv0g9HfMLXLqM/DZadRgKtKksjfR+fALTZw4hBHp7e1EqlZBOpzE7O4tsNqvum7sYvA2m58KDny6L4y4XxJaCI1wJLFHAxPMH/E1fmiHoKtR+E4X00T4o2KmPxM2Y6DoFWZ+/QdfUrzM/P49MJqNmfALwrM5E5U3uXxBpjM8z8YOLldQJiC0FR9hedFBQiyPqabK2ulyZkn7gJCM9Damb5qZrNBqJ12dQks9OrpSN9MQDkNyc54QmUl4mopZfe0wzQ4HOjhv4IbYUmkDYGMNipaqCZkNyhAleNmMR+Jn/JjIUn+dASkq/H740vF6nXp8rZ4RPofZ7hp0w0ckVsVI4x0Ad29VH9lN8zSg5bgH4XUNPTQZlEejebHEPwI3/YLqOnyLsdG4CR6wUOhBBpjshyJLRpy7zVZxs1GU/01sfSYPMcn7tsKleIYRxzQN9WTZeJ59WbVsxKuqUcyfi3L77JuGagmvVtQH/pdNc66DzCJT713dh8pvnEMV6DUHQV4Cie9fvmYKOlMkwrU1Jm+maznfBco0nALFS6FiYIuh6FqBZGrSucEyZAcp6cKFyUQh6wC8ow2FqrykASEFQUgbUNh5sTCaTKJVKodyoMFyKTkesFBYBzZqnLj54mMlXrYBf3abfSKGZiFIcPOjnJ9DFYhH9/f2Ynp5GJpPxTIQqlUrIZrMea8EE3QpcDulGF8RKoc3gJmuY8q5wnZ8ANDbiBa2B4GqGExPQtBuUDj8LxDRrk8rTgq7lchmZTEZtLsPbaFsa/lxGrBTahEYCWO1MefrNkCQ0MrU4zO+muIQpeKmfb+IQ0IpM5EboaywUCgXPRjJh72E5IyYvtQFhhNuV4ESdWZ8h2CxcFYFJME2swyCEmaJuezZ+1gtXxjy2QHEF2/nnMmJLYRHhR7QJAlcI7YZNcYTxucOOxKbAqr7iEVkRelAwKK16LlsFJsRKYYnCz7rQA2SdTpyx3avf3gsk7KQc+EawfilGIQRKpZInc8GzNudKMNEPsVJoA6L2W9upBPza2GqSj98qTNwVoNiBX1spIMlnPBKBic+LiBErhbbCdTQKSpO1Uym0w9R2mWwG2LMPxIi0TX/m28zxdxB2yvi5glgptBlBQuVCTW4nmiVANVo34C+oZBnwdKUfNbtUKimWI2DOWMSoIVYKi4RmI95h2INRXMeGqJY347RlE/gMSd2t8DvXFHQ0TQePcRZOSkEIMSiE+GchxAtCiANCiGuFEENCiAeEEIfq/1fWywohxBeFEIeFEM8KIS5v7S10JoKWU7NBHx0bRRQWR7utFr/p1nzk1xUEX2ehq6urdQ1cJnB9q38N4P9KKS9EbQu5AwDuBvCglHIngAfr3wHgXQB21v/uAPDlSFt8DqCVI1iYkd2FqqyvGdmMouB1mRSeyS2g+zFxJPikMSqn708ZYyEC36AQYgWANwP4KgBIKUtSyjMAbgbwjXqxbwB4f/3zzQDukzU8DmBQ1Lesj+EOv0lANrhQqPVJTUFtCIswpKWoLA0+2Ynq5u1wXWAmRg0ub+V8ABMAviaE2CuE+DtR25J+raxvMV//v6ZefiOAUXb+WP2YB0KIO4QQTwohnvTLR8fwBxcE/l//bINeJijiHzYbYeIORKUMbNPWYwXQHFzeTgrA5QC+LKW8DMAczroKJpjeyAKbVUp5r5TyCinlFYvFzOsEmGbqEWy+M+BVEq7CaFtfwE8x6GWjFn6/JeV5G2hSFU2witE4XN7aGIAxKeXP69//GTUlcZLcgvr/cVZ+Mzt/E4Bj0TT33IaNAMX3HjApDx2tChC2K/CoK4o4ixAtAt+ilPIEgFEhxAX1QzcA2A/gfgC31Y/dBuD79c/3A/hwPQtxDYApcjNiRAMauRsVBtfzmjXDm6EM62sjmhDHCloDV7v94wC+KYTIABgB8FuoKZTvCCFuB3AUwC31sj8E8G4AhwHk6mVjRAx9kRFuWnNrgUZvF5o1D9ZRnfoxWx2uVoJLedPak7Hwtw9OSkFK+UsAVxh+usFQVgK4q8l2xQgJV6EJmprNVygCEGoBEn2JNX7cpSynHsdKYPEQR/iWOUyBSZsfblrKLWilJf2YrlSC2uYyvyFGexErhXMIQQLnJ+wu5r4p1hE08sdBwqWHWCnEcIIu6LqQ03wCHfHI33mIJ0TFCA3TWorx4qfLB7FSiBEjhgexUogRI4YHsVKIESOGB7FSiBEjhgdiKax5L4SYAXBwsdsBYBjAa4vdCMTt0BG3w4tG27FFSrk6qNBSSUkelFKaGJNthRDiybgdcTvO9XbE7kOMGDE8iJVCjBgxPFgqSuHexW5AHXE7vIjb4cU50Y4lEWiMESPG0sFSsRRixIixRLDoSkEI8U4hxMH6PhF+az9Gca2/F0KMCyGeY8favn+FEGKzEOKh+h4azwshfmcx2iKE6BJC/EII8Uy9HX9cP75NCPHzejv+sb64DoQQ2fr3w/Xft0bRjnrdyfrCwD9YxDYcEULsE0L8UgjxZP3YYvSPxd1nhS+I2e4/AEkAL6G2YnQGwDMAdrXwem9GbX3J59ix/wng7vrnuwH8Rf3zuwH8O2oL0V4D4OcRtmM9gMvrn/sBvAhgV7vbUq+vr/45DeDn9fq/A+BD9eNfAfD/1T/fCeAr9c8fAvCPET6TTwH4PwB+UP++GG04AmBYO7YY/eMbAD5S/5wBMNjOdrRE+ELc/LUAfsS+fwbAZ1p8za2aUjgIYH3983rUOBMA8DcAbjWVa0Gbvg/gpsVsC4AeAE8DuBo1YkxKf0cAfgTg2vrnVL2ciODam1DbUOhtAH5Q7+BtbUO9PpNSaOs7AbACwMv6PbWzHYvtPjjtEdFiNLV/RbOom7+XoTZKt70tdbP9l6itxv0AapbbGSklbcbBr6XaUf99CsCqCJrxVwD+OwBatGHVIrQBqG1F8B9CiKeEEHfUj7X7nbRkn5UwWGyl4LRHxCKh5W0TQvQB+C6A35VSTi9GW6SUFSnlHtRG66sAXORzrcjbIYR4L4BxKeVT/HA728BwnZTyctS2PrxLCPFmn7KtakdL9lkJg8VWCkthj4hF2b9CCJFGTSF8U0r5L4vZFgCQta0A/xM1v3RQCEEUeH4t1Y767wMATjV56esAvE8IcQTAt1FzIf6qzW0AAEgpj9X/jwP4V9SUZLvfyaLvs7LYSuEJADvrkeYMaoGj+9vchrbvXyGEEKjtzXlASvm/FqstQojVQojB+uduADeitnnwQwA+aGkHte+DAH4i645so5BSfkZKuUlKuRW19/8TKeWvt7MNACCE6BVC9NNnAG8H8Bza/E7kUthnJYoATZOBlXejFn1/CcAftvha3wJwHEAZNQ17O2r+6IMADtX/D9XLCgBfqrdrH4ArImzHm1Az8Z4F8Mv637vb3RYAlwLYW2/HcwA+Wz9+PoBfoLZ3xz8ByNaPd9W/H67/fn7E7+d6nM0+tLUN9es9U/97nvriIvWPPQCerL+X7wFY2c52xIzGGDFieLDY7kOMGDGWGGKlECNGDA9ipRAjRgwPYqUQI0YMD2KlECNGDA9ipRAjRgwPYqUQI0YMD2KlECNGDA/+f9fPTeoOvKrSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj, theta, center=rot_center, algorithm=tomopy.lprec, lpmethod='tv', ncore=1, num_iter=512, reg_par=5e-4)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :,:], cmap='Greys_r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using the TV-entropy method with the log-polar coordinates. It can be used for suppressing Poisson noise.\n",
    "$$ \\hat{f} = \\text{argmin}_f \\lambda \\lVert\\nabla f\\rVert_1+\\int_\\Omega\\mathcal{R}f-g\\log(\\mathcal{R}f)df $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj, theta, center=rot_center, algorithm=tomopy.lprec, lpmethod='tve', ncore=1, num_iter=512, reg_par=2e-4)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :,:], cmap='Greys_r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using the TV-l1 method with the log-polar coordinates. It can be used to remove\n",
    "structures of an image of a certain scale, and the regularization parameter $\\lambda$ can be used for scale selection. \n",
    "$$ \\hat{f} = \\text{argmin}_f\\lVert\\mathcal{R}f-g \\rVert_1 + \\lambda \\lVert\\nabla f\\rVert_1 $$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj, theta, center=rot_center, algorithm=tomopy.lprec, lpmethod='tvl1', ncore=1, num_iter=512, reg_par=3e-2)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :,:], cmap='Greys_r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using the MLEM method with the log-polar coordinates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj, theta, center=rot_center, algorithm=tomopy.lprec, lpmethod='em', ncore=1, num_iter=64, reg_par=0.05)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :,:], cmap='Greys_r')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
